Edmunds, D. E.; Evans, W. D.; Lewis, R. T. Inequalities of Rellich type. (English. Russian original) Zbl 1478.35007 Funct. Anal. Appl. 55, No. 2, 130-139 (2021); translation from Funkts. Anal. Prilozh. 55, No. 2, 65-76 (2021). MSC: 35A23 26D10 46E35 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Funct. Anal. Appl. 55, No. 2, 130--139 (2021; Zbl 1478.35007); translation from Funkts. Anal. Prilozh. 55, No. 2, 65--76 (2021) Full Text: DOI
Lewis, Roger T. Spectral properties of some degenerate elliptic differential operators. (English) Zbl 1268.47056 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 139-156 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 47B25 35P15 35J70 PDFBibTeX XMLCite \textit{R. T. Lewis}, Oper. Theory: Adv. Appl. 219, 139--156 (2012; Zbl 1268.47056) Full Text: DOI arXiv
Chernov, Nikolai (ed.); Karpeshina, Yulia (ed.); Knowles, Ian W. (ed.); Lewis, Roger T. (ed.); Weikard, Rudi (ed.) Recent advances in differential equations and mathematical physics. UAB international conference on differential equations and mathematical physics, Birmingham, AL, USA, March 29–April 2, 2005. (English) Zbl 1097.34002 Contemporary Mathematics 412. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3840-7/pbk). xvii, 333 p. (2006). MSC: 34-06 35-06 81-06 00B25 PDFBibTeX XMLCite \textit{N. Chernov} (ed.) et al., Recent advances in differential equations and mathematical physics. UAB international conference on differential equations and mathematical physics, Birmingham, AL, USA, March 29--April 2, 2005. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1097.34002) Full Text: DOI
Evans, W. D.; Lewis, R. T. Counting eigenvalues of biharmonic operators with magnetic fields. (English) Zbl 1093.47019 Math. Nachr. 278, No. 12-13, 1524-1537 (2005). Reviewer: Mihai Pascu (Bucureşti) MSC: 47A75 35P05 47A10 47A30 47F05 81Q10 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{R. T. Lewis}, Math. Nachr. 278, No. 12--13, 1524--1537 (2005; Zbl 1093.47019) Full Text: DOI
Evans, W. D.; Lewis, R. T. On the Rellich inequality with magnetic potentials. (English) Zbl 1090.35153 Math. Z. 251, No. 2, 267-284 (2005). MSC: 35Q40 26D10 81Q05 81V10 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{R. T. Lewis}, Math. Z. 251, No. 2, 267--284 (2005; Zbl 1090.35153) Full Text: DOI
Balinsky, A. A.; Evans, W. D.; Lewis, Roger T. Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\). (English) Zbl 1002.81051 J. Phys. A, Math. Gen. 34, No. 5, L19-L23 (2001). MSC: 81V10 47F05 81Q10 35J10 PDFBibTeX XMLCite \textit{A. A. Balinsky} et al., J. Phys. A, Math. Gen. 34, No. 5, L19--L23 (2001; Zbl 1002.81051) Full Text: DOI
Evans, W. D.; Lewis, Roger T. Eigenvalue estimates in the semi-classical limit for Pauli and Dirac operators with a magnetic field. (English) Zbl 0934.35141 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1981, 183-217 (1999). Reviewer: André Martinez (Bologna) MSC: 35Q40 35P20 81Q20 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{R. T. Lewis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1981, 183--217 (1999; Zbl 0934.35141) Full Text: DOI
Griesemer, Marcel; Lewis, Roger T.; Siedentop, Heinz A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials. (English) Zbl 1115.47300 Doc. Math. 4, 275-283 (1999). MSC: 47B25 35P15 47A75 47F05 47N50 81Q10 PDFBibTeX XMLCite \textit{M. Griesemer} et al., Doc. Math. 4, 275--283 (1999; Zbl 1115.47300) Full Text: EuDML EMIS
Lewis, Roger T.; Siedentop, Heinz; Vugalter, Simeon The essential spectrum of relativistic multi-particle operators. (English) Zbl 0886.35126 Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 1, 1-28 (1997). Reviewer: L.Vazquez (Madrid) MSC: 35Q40 35P15 81Q10 PDFBibTeX XMLCite \textit{R. T. Lewis} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 1, 1--28 (1997; Zbl 0886.35126) Full Text: Numdam EuDML
Evans, William Desmond; Lewis, Roger T.; Siedentop, Heinz; Solovej, Jan Philip Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit. (English) Zbl 0862.35097 Ark. Mat. 34, No. 2, 265-283 (1996). Reviewer: H.Yamagata (Osaka) MSC: 35Q40 47A75 35P15 81Q10 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Ark. Mat. 34, No. 2, 265--283 (1996; Zbl 0862.35097) Full Text: DOI
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi Eigenvalue properties of Schrödinger operators. (English) Zbl 0807.35117 Yajima, K. (ed.), Spectral scattering theory and applications. Proceedings of a conference on spectral and scattering theory held at Tokyo Institute of Technology, Japan, June 30-July 3, 1992 in honour of Shige Toshi Kuroda on the occasion of his 60th birthday. Tokyo: Kinokuniya Company Ltd.. Adv. Stud. Pure Math. 23, 27-55 (1994). MSC: 35Q40 35P15 35J10 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Adv. Stud. Pure Math. 23, 27--55 (1994; Zbl 0807.35117)
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi The Agmon spectral function for molecular Hamiltonians with symmetry restrictions. (English) Zbl 0804.35028 Proc. R. Soc. Lond., Ser. A 440, No. 1910, 621-638 (1993). Reviewer: H.Siedentop (Oslo) MSC: 35J10 81Q10 35P05 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Proc. R. Soc. Lond., Ser. A 440, No. 1910, 621--638 (1993; Zbl 0804.35028) Full Text: DOI
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi Zhislin’s theorem revisited. (English) Zbl 0808.35097 J. Anal. Math. 58, 191-212 (1992). Reviewer: A.Martinez (Villetaneuse) MSC: 35P99 81Q10 PDFBibTeX XMLCite \textit{W. D. Evans} et al., J. Anal. Math. 58, 191--212 (1992; Zbl 0808.35097) Full Text: DOI
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi Geometric spectral properties of \(N\)-body Schrödinger operators. II. (English) Zbl 0780.35070 Philos. Trans. R. Soc. Lond., Ser. A 338, No. 1649, 113-144 (1992). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P15 81U10 35J10 47F05 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Philos. Trans. R. Soc. Lond., Ser. A 338, No. 1649, 113--144 (1992; Zbl 0780.35070) Full Text: DOI
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi Some geometric spectral properties of N-body Schrödinger operators. (English) Zbl 0727.35101 Arch. Ration. Mech. Anal. 113, No. 4, 377-400 (1991). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P15 35J10 81U10 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Arch. Ration. Mech. Anal. 113, No. 4, 377--400 (1991; Zbl 0727.35101) Full Text: DOI
Evans, W. D.; Lewis, R. T.; Saito, Y. Eigenvalue properties of non-isotropic Schrödinger operators with applications. (English) Zbl 0780.35066 Ordinary and partial differential equations. Vol. III, Proc. 11th Dundee Conf., Dundee/UK 1990, Pitman Res. Notes Math. Ser. 254, 80-94 (1991). Reviewer: H.Lange (Köln) MSC: 35P05 35Q40 35J10 81Q10 81Q05 PDFBibTeX XMLCite \textit{W. D. Evans} et al., in: Asymptotic integration and a borderline case in the theory of elliptic equations involving critical exponents. . 80--94 (1991; Zbl 0780.35066)
Evans, W. D.; Lewis, Roger T. N-body Schrödinger operators with finitely many body states. (English) Zbl 0732.35062 Trans. Am. Math. Soc. 322, No. 2, 593-626 (1990). Reviewer: L.Pastur (Khar’kov) MSC: 35P25 81U10 35J10 47F05 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{R. T. Lewis}, Trans. Am. Math. Soc. 322, No. 2, 593--626 (1990; Zbl 0732.35062) Full Text: DOI
Evans, W. D.; Lewis, R.; Saitó, Y. Finiteness of bound states of general N-body operators. (English) Zbl 0728.35075 Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 159-162 (1990). Reviewer: W.D.Evans MSC: 35P05 81U10 35J10 PDFBibTeX XML
Evans, W. D.; Lewis, Roger T. Eigenvalues below the essential spectra of singular elliptic operators. (English) Zbl 0638.35063 Trans. Am. Math. Soc. 297, 197-222 (1986). Reviewer: L.Jantscher MSC: 35P15 35J25 47B25 47F05 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{R. T. Lewis}, Trans. Am. Math. Soc. 297, 197--222 (1986; Zbl 0638.35063) Full Text: DOI
Lewis, Roger T. A Friedrichs inequality and an application. (English) Zbl 0556.35104 Proc. R. Soc. Edinb., Sect. A 97, 185-191 (1984). Reviewer: G.Pasa MSC: 35P15 PDFBibTeX XMLCite \textit{R. T. Lewis}, Proc. R. Soc. Edinb., Sect. A, Math. 97, 185--191 (1984; Zbl 0556.35104) Full Text: DOI
Knowles, Ian W. (ed.); Lewis, Roger T. (ed.) Differential equations. Proceedings of the Conference held at the University of Alabama in Birmingham, Birmingham, Alabama, USA, 21-26 March, 1983. (English) Zbl 0539.00010 North-Holland Mathematics Studies, 92. Amsterdam - New York - Oxford: North-Holland. XX, 608 p. $ 61.50; Dfl. 160.00 (1984). MSC: 00Bxx 35-06 34-06 PDFBibTeX XML
Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. Inversion in the unit sphere for powers of the Laplacian. (English) Zbl 0529.35017 Ordinary differential equations and operators, A Trib. to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 1-8 (1983). MSC: 35G05 35P05 35A22 35B05 PDFBibTeX XML
Everitt, W. N. (ed.); Lewis, R. T. (ed.) Ordinary differential equations and operators. A tribute to F. V. Atkinson. Proceedings of a Symposium held at Dundee, Scotland, March - July 1982. (English) Zbl 0514.00013 Lecture Notes in Mathematics. 1032. Berlin etc.: Springer-Verlag. XV, 521 p. DM 62.00; $ 24.10 (1983). MSC: 00Bxx 34-06 35-06 PDFBibTeX XML
Lewis, Roger T. Singular elliptic operators of second order with purely discrete spectra. (English) Zbl 0507.35069 Trans. Am. Math. Soc. 271, 653-666 (1982). MSC: 35P15 35J25 47B25 47A10 PDFBibTeX XMLCite \textit{R. T. Lewis}, Trans. Am. Math. Soc. 271, 653--666 (1982; Zbl 0507.35069) Full Text: DOI
Lewis, Roger T. Applications of a comparison theorem for quasi-accretive operators in a Hilbert space. (English) Zbl 0505.47027 Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl. 1982, Lect. Notes Math. 964, 422-434 (1982). MSC: 47B44 35P15 47A10 PDFBibTeX XML
Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. Transformations of second order ordinary and partial differential operators. (English) Zbl 0497.34012 Proc. R. Soc. Edinb., Sect. A 92, 31-49 (1982). MSC: 34A25 34A30 34L99 35G05 PDFBibTeX XMLCite \textit{C. D. Ahlbrandt} et al., Proc. R. Soc. Edinb., Sect. A, Math. 92, 31--49 (1982; Zbl 0497.34012) Full Text: DOI
Lewis, Roger T. The spectra of some singular elliptic operators of second order. (English) Zbl 0486.35062 Spectral theory of differential operators, Proc. Conf., Birmingham/USA 1981, North-Holland Math. Stud. 55, 303-318 (1981). MSC: 35P15 35J25 47B25 47F05 PDFBibTeX XML
Etgen, Garret J.; Lewis, Roger T. The oscillation of elliptic systems. (English) Zbl 0452.35027 Math. Nachr. 94, 43-50 (1980). MSC: 35J45 35B05 PDFBibTeX XMLCite \textit{G. J. Etgen} and \textit{R. T. Lewis}, Math. Nachr. 94, 43--50 (1980; Zbl 0452.35027) Full Text: DOI